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Safe path planning is a crucial component in autonomous robotics. The many approaches to find a collision free path can be categorically divided into trajectory optimisers and sampling-based methods. When planning using occupancy maps, the…

Robotics · Computer Science 2017-03-02 Gilad Francis , Lionel Ott , Fabio Ramos

This research addresses the increasing demand for advanced navigation systems capable of operating within confined surroundings. A significant challenge in this field is developing an efficient planning framework that can generalize across…

Robotics · Computer Science 2024-07-09 Jiayu Fan , Nikolce Murgovski , Jun Liang

Nonlinear trajectory optimization algorithms have been developed to handle optimal control problems with nonlinear dynamics and nonconvex constraints in trajectory planning. The performance and computational efficiency of many trajectory…

Optimization and Control · Mathematics 2024-01-17 Taewan Kim , Purnanand Elango , Danylo Malyuta , Behcet Acikmese

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

Systems and Control · Computer Science 2016-03-10 Jung-Su Ha , Han-Lim Choi

In this paper, we consider a formulation of nonlinear constrained optimization problems. We reformulate it as a time-varying optimization using continuous-time parametric functions and derive a dynamical system for tracking the optimal…

Optimization and Control · Mathematics 2024-06-11 Mohsen Amidzadeh

Autonomous and safe navigation of tractor-trailer systems requires accurate, real-time collision avoidance and dynamically feasible control, particularly in cluttered and complex agricultural environments. This is challenging due to their…

Robotics · Computer Science 2026-05-12 Peng Wei , Chen Peng , Stavros Vougioukas

Trajectory simplification is a problem encountered in areas like Robot programming by demonstration, CAD/CAM, computer vision, and in GPS-based applications like traffic analysis. This problem entails reduction of the points in a given…

Computer Vision and Pattern Recognition · Computer Science 2016-08-29 Daniel L. Marino , Milos Manic

We consider warm-started optimized trajectory planning for autonomous surface vehicles (ASVs) by combining the advantages of two types of planners: an A* implementation that quickly finds the shortest piecewise linear path, and an optimal…

Systems and Control · Electrical Eng. & Systems 2019-07-08 Glenn Bitar , Vegard N. Vestad , Anastasios M. Lekkas , Morten Breivik

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

Systems and Control · Electrical Eng. & Systems 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

A redundant manipulator has multiple inverse kinematics solutions per end-effector pose. Accordingly, there can be many trajectories for joints that follow a given endeffector path in the Cartesian space. In this paper, we present a…

Robotics · Computer Science 2020-11-10 Mincheul Kang , Heechan Shin , Donghyuk Kim , Sung-Eui Yoon

Trajectory optimization is a central component of fast and efficient autonomous racing. However practical optimization pipelines remain highly sensitive to initialization and may converge slowly or to suboptimal local solutions when seeded…

Robotics · Computer Science 2026-05-19 Samir Shehadeh , Lukas Kutsch , Nils Dengler , Sicong Pan , Maren Bennewitz

Existing approaches to trajectory planning for autonomous racing employ sampling-based methods, generating numerous jerk-optimal trajectories and selecting the most favorable feasible trajectory based on a cost function penalizing…

Robotics · Computer Science 2024-07-26 Levent Ögretmen , Matthias Rowold , Alexander Langmann , Boris Lohmann

This paper tackles the multi-objective optimization of the cost functional of a path-following model predictive control for vehicle longitudinal and lateral control. While the inherent optimal character of the model predictive control and…

Robotics · Computer Science 2021-04-09 Ali Gharib , David Stenger , Robert Ritschel , Rick Voßwinkel

Neural Combinatorial Optimization (NCO) has emerged as a promising learning-based paradigm for addressing Vehicle Routing Problems (VRPs) by minimizing the need for extensive manual engineering. While existing NCO methods, trained on…

Machine Learning · Computer Science 2025-11-24 Yuanyao Chen , Rongsheng Chen , Fu Luo , Zhenkun Wang

Sampling-based model predictive controllers generate trajectories by sampling control inputs from a fixed, simple distribution such as the normal or uniform distributions. This sampling method yields trajectory samples that are tightly…

Systems and Control · Electrical Eng. & Systems 2025-03-13 O. Goktug Poyrazoglu , Rahul Moorthy , Yukang Cao , William Chastek , Volkan Isler

Estimation of model parameters in a dynamic system can be significantly improved with the choice of experimental trajectory. For general, nonlinear dynamic systems, finding globally "best" trajectories is typically not feasible; however,…

Robotics · Computer Science 2017-09-12 Andrew D. Wilson , Jarvis A. Schultz , Todd D. Murphey

The indeterminate nature of human motion requires trajectory prediction systems to use a probabilistic model to formulate the multi-modality phenomenon and infer a finite set of future trajectories. However, the inference processes of most…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Guangyi Chen , Zhenhao Chen , Shunxing Fan , Kun Zhang

Efficient and safe trajectory planning plays a critical role in the application of quadrotor unmanned aerial vehicles. Currently, the inherent trade-off between constraint compliance and computational efficiency enhancement in UAV…

Robotics · Computer Science 2025-03-06 Jinhao Zhang , Zhexuan Zhou , Wenlong Xia , Youmin Gong , Jie Mei

Optimization has been widely used to generate smooth trajectories for motion planning. However, existing trajectory optimization methods show weakness when dealing with large-scale long trajectories. Recent advances in parallel computing…

Robotics · Computer Science 2025-07-18 Jiajun Yu , Nanhe Chen , Guodong Liu , Chao Xu , Fei Gao , Yanjun Cao
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